Atkin-Lehner |
3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18585d |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34300999407031875 = -1 · 318 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164610,27247675] |
[a1,a2,a3,a4,a6] |
j |
-676653468930300961/47052125386875 |
j-invariant |
L |
1.4462717839945 |
L(r)(E,1)/r! |
Ω |
0.36156794599862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195e4 92925n3 |
Quadratic twists by: -3 5 |